Algebraic Cycles on Real Varieties and Z/2-equivariant Homotopy Theory, by Pedro F. dos Santos

In this paper the spaces of cycles on a real projective variety X are studied as Z/2-spaces under the action of the Galois group Gal(C/R). In particular, the equivariant homotopy type of the space of p-cyles in CP^n is computed. A version of Lawson homology for real varieties is proposed. The real Lawson homology groups are computed for a class of real varieties.

Pedro F. dos Santos <>